Least Common Multiple of 98/45, 29/34, 18/57, 14/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/45, 29/34, 18/57, 14/516 quickly i.e. 25578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/45, 29/34, 18/57, 14/516 is 25578.

LCM(98/45, 29/34, 18/57, 14/516) = 25578

LCM of 98/45, 29/34, 18/57, 14/516

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 98/45,29/34,18/57,14/516

Given numbers are 98/45,29/34,18/57,14/516

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 98,29,18,14

Least Common Multiple of Numerators i.e. LCM of 98,29,18,14 is 25578.

GCF of Denominators means GCF of 45,34,57,516 as per the given fractions.

GCF of 45,34,57,516 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,29,18,14

LCM of Fractions 98/45,29/34,18/57,14/516 is 25578

2 98, 29, 18, 14
7 49, 29, 9, 7
1, 29, 9, 7

∴ So the LCM of the given numbers is 2 x 7 x 1 x 29 x 9 x 7 = 25578

Least Common Multiple of 98,29,18,14 with GCF Formula

Least Common Multiple of 98,29,18,14 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 98,29,18,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,29,18,14) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(98,29,18,14) x common factors =1 x 28 = 28

LCM(98,29,18,14) = ( 98 × 29 × 18 × 14 ) / 28

LCM(98,29,18,14) = 716184 / 28

LCM(98,29,18,14) = 25578


Lets's calculate GCF of 45,34,57,516

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25578/1

Therefore the LCM of Fractions 98/45,29/34,18/57,14/516 is 25578

Greatest Common Factor of 45,34,57,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,34,57,516 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 45,34,57,516 . The biggest common factor number is the GCF number.
So the greatest common factor 45,34,57,516 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 98/45, 29/34, 18/57, 14/516

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 98/45, 29/34, 18/57, 14/516?

Answer: LCM of Numerators as per given numbers 98/45, 29/34, 18/57, 14/516 is

LCM of Numerators i.e. for 98,29,18,14 is 25578

GCF of denominators i.e. for 45,34,57,516 is 1.

Thus, LCM of Fractions is 25578.Finally, LCM of Fractions for 98/45, 29/34, 18/57, 14/516 is 25578.